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| 536 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[1]:·</span><span·class="kn">import</span>·<span·class="nn">numpy.random</span> | 536 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[1]:·</span><span·class="kn">import</span>·<span·class="nn">numpy.random</span> |
| 537 | <span·class="gp">In·[2]:·</span><span·class="n">rng</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">random</span><span·class="o">.</span><span·class="n">default_rng</span><span·class="p">()</span> | 537 | <span·class="gp">In·[2]:·</span><span·class="n">rng</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">random</span><span·class="o">.</span><span·class="n">default_rng</span><span·class="p">()</span> |
| 538 | <span·class="gp">In·[3]:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·rng.standard_normal(100000) | 538 | <span·class="gp">In·[3]:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·rng.standard_normal(100000) |
| 539 | <span·class="gp">···...:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·numpy.random.standard_normal(100000) | 539 | <span·class="gp">···...:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·numpy.random.standard_normal(100000) |
| 540 | <span·class="gp">···...:·</span> | 540 | <span·class="gp">···...:·</span> |
| 541 | <span·class="go"> | 541 | <span·class="go">1.36·ms·+-·33.7·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> |
| 542 | <span·class="go"> | 542 | <span·class="go">2.61·ms·+-·17.5·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> |
| 543 | </pre></div> | 543 | </pre></div> |
| 544 | </div> | 544 | </div> |
| 545 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[4]:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·rng.standard_exponential(100000) | 545 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[4]:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·rng.standard_exponential(100000) |
| 546 | <span·class="gp">···...:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·numpy.random.standard_exponential(100000) | 546 | <span·class="gp">···...:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·numpy.random.standard_exponential(100000) |
| 547 | <span·class="gp">···...:·</span> | 547 | <span·class="gp">···...:·</span> |
| 548 | <span·class="go">724·us·+-·6.86·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> | ||
| 548 | <span·class="go">1.9 | 549 | <span·class="go">1.94·ms·+-·10.5·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> |
| 549 | <span·class="go">5.43·ms·+-·1.18·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> | ||
| 550 | </pre></div> | 550 | </pre></div> |
| 551 | </div> | 551 | </div> |
| 552 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[5]:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·rng.standard_gamma(3.0,·100000) | 552 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[5]:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·rng.standard_gamma(3.0,·100000) |
| 553 | <span·class="gp">···...:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·numpy.random.standard_gamma(3.0,·100000) | 553 | <span·class="gp">···...:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·numpy.random.standard_gamma(3.0,·100000) |
| 554 | <span·class="gp">···...:·</span> | 554 | <span·class="gp">···...:·</span> |
| 555 | <span·class="go"> | 555 | <span·class="go">2.98·ms·+-·21.3·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> |
| 556 | <span·class="go"> | 556 | <span·class="go">5.05·ms·+-·12.7·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> |
| 557 | </pre></div> | 557 | </pre></div> |
| 558 | </div> | 558 | </div> |
| 559 | <ul·class="simple"> | 559 | <ul·class="simple"> |
| 560 | <li><p><a·class="reference·internal"·href="generated/numpy.random.Generator.integers.html#numpy.random.Generator.integers"·title="numpy.random.Generator.integers"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">integers</span></code></a>·is·now·the·canonical·way·to·generate·integer | 560 | <li><p><a·class="reference·internal"·href="generated/numpy.random.Generator.integers.html#numpy.random.Generator.integers"·title="numpy.random.Generator.integers"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">integers</span></code></a>·is·now·the·canonical·way·to·generate·integer |
| 561 | random·numbers·from·a·discrete·uniform·distribution.·This·replaces·both | 561 | random·numbers·from·a·discrete·uniform·distribution.·This·replaces·both |
| 562 | <a·class="reference·internal"·href="generated/numpy.random.randint.html#numpy.random.randint"·title="numpy.random.randint"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">randint</span></code></a>·and·the·deprecated·<a·class="reference·internal"·href="generated/numpy.random.random_integers.html#numpy.random.random_integers"·title="numpy.random.random_integers"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">random_integers</span></code></a>.</p></li> | 562 | <a·class="reference·internal"·href="generated/numpy.random.randint.html#numpy.random.randint"·title="numpy.random.randint"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">randint</span></code></a>·and·the·deprecated·<a·class="reference·internal"·href="generated/numpy.random.random_integers.html#numpy.random.random_integers"·title="numpy.random.random_integers"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">random_integers</span></code></a>.</p></li> |
| 563 | <li><p>The·<a·class="reference·internal"·href="generated/numpy.random.rand.html#numpy.random.rand"·title="numpy.random.rand"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">rand</span></code></a>·and·<a·class="reference·internal"·href="generated/numpy.random.randn.html#numpy.random.randn"·title="numpy.random.randn"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">randn</span></code></a>·methods·are·only·available·through·the·legacy | 563 | <li><p>The·<a·class="reference·internal"·href="generated/numpy.random.rand.html#numpy.random.rand"·title="numpy.random.rand"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">rand</span></code></a>·and·<a·class="reference·internal"·href="generated/numpy.random.randn.html#numpy.random.randn"·title="numpy.random.randn"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">randn</span></code></a>·methods·are·only·available·through·the·legacy |
| Offset 586, 21 lines modified | Offset 586, 21 lines modified | ||
| 586 | <li><p>Standard·Exponentials·(<a·class="reference·internal"·href="generated/numpy.random.Generator.standard_exponential.html#numpy.random.Generator.standard_exponential"·title="numpy.random.Generator.standard_exponential"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">standard_exponential</span></code></a>)</p></li> | 586 | <li><p>Standard·Exponentials·(<a·class="reference·internal"·href="generated/numpy.random.Generator.standard_exponential.html#numpy.random.Generator.standard_exponential"·title="numpy.random.Generator.standard_exponential"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">standard_exponential</span></code></a>)</p></li> |
| 587 | </ul> | 587 | </ul> |
| 588 | </li> | 588 | </li> |
| 589 | </ul> | 589 | </ul> |
| 590 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[6]:·</span><span·class="n">rng</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">random</span><span·class="o">.</span><span·class="n">default_rng</span><span·class="p">()</span> | 590 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[6]:·</span><span·class="n">rng</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">random</span><span·class="o">.</span><span·class="n">default_rng</span><span·class="p">()</span> |
| 591 | <span·class="gp">In·[7]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">random</span><span·class="p">(</span><span·class="mi">3</span><span·class="p">,</span>·<span·class="n">dtype</span><span·class="o">=</span><span·class="n">np</span><span·class="o">.</span><span·class="n">float64</span><span·class="p">)</span> | 591 | <span·class="gp">In·[7]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">random</span><span·class="p">(</span><span·class="mi">3</span><span·class="p">,</span>·<span·class="n">dtype</span><span·class="o">=</span><span·class="n">np</span><span·class="o">.</span><span·class="n">float64</span><span·class="p">)</span> |
| 592 | <span·class="gh">Out[7]:·</span><span·class="go">array([0. | 592 | <span·class="gh">Out[7]:·</span><span·class="go">array([0.55420097,·0.45697908,·0.69487323])</span> |
| 593 | <span·class="gp">In·[8]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">random</span><span·class="p">(</span><span·class="mi">3</span><span·class="p">,</span>·<span·class="n">dtype</span><span·class="o">=</span><span·class="n">np</span><span·class="o">.</span><span·class="n">float32</span><span·class="p">)</span> | 593 | <span·class="gp">In·[8]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">random</span><span·class="p">(</span><span·class="mi">3</span><span·class="p">,</span>·<span·class="n">dtype</span><span·class="o">=</span><span·class="n">np</span><span·class="o">.</span><span·class="n">float32</span><span·class="p">)</span> |
| 594 | <span·class="gh">Out[8]:·</span><span·class="go">array([0. | 594 | <span·class="gh">Out[8]:·</span><span·class="go">array([0.5988971·,·0.18808335,·0.86917627],·dtype=float32)</span> |
| 595 | <span·class="gp">In·[9]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">integers</span><span·class="p">(</span><span·class="mi">0</span><span·class="p">,</span>·<span·class="mi">256</span><span·class="p">,</span>·<span·class="n">size</span><span·class="o">=</span><span·class="mi">3</span><span·class="p">,</span>·<span·class="n">dtype</span><span·class="o">=</span><span·class="n">np</span><span·class="o">.</span><span·class="n">uint8</span><span·class="p">)</span> | 595 | <span·class="gp">In·[9]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">integers</span><span·class="p">(</span><span·class="mi">0</span><span·class="p">,</span>·<span·class="mi">256</span><span·class="p">,</span>·<span·class="n">size</span><span·class="o">=</span><span·class="mi">3</span><span·class="p">,</span>·<span·class="n">dtype</span><span·class="o">=</span><span·class="n">np</span><span·class="o">.</span><span·class="n">uint8</span><span·class="p">)</span> |
| 596 | <span·class="gh">Out[9]:·</span><span·class="go">array([ | 596 | <span·class="gh">Out[9]:·</span><span·class="go">array([252,··61,··65],·dtype=uint8)</span> |
| 597 | </pre></div> | 597 | </pre></div> |
| 598 | </div> | 598 | </div> |
| 599 | <ul> | 599 | <ul> |
| 600 | <li><p>Optional·<code·class="docutils·literal·notranslate"><span·class="pre">out</span></code>·argument·that·allows·existing·arrays·to·be·filled·for | 600 | <li><p>Optional·<code·class="docutils·literal·notranslate"><span·class="pre">out</span></code>·argument·that·allows·existing·arrays·to·be·filled·for |
| 601 | select·distributions</p> | 601 | select·distributions</p> |
| 602 | <ul·class="simple"> | 602 | <ul·class="simple"> |
| 603 | <li><p>Uniforms·(<a·class="reference·internal"·href="generated/numpy.random.Generator.random.html#numpy.random.Generator.random"·title="numpy.random.Generator.random"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">random</span></code></a>)</p></li> | 603 | <li><p>Uniforms·(<a·class="reference·internal"·href="generated/numpy.random.Generator.random.html#numpy.random.Generator.random"·title="numpy.random.Generator.random"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">random</span></code></a>)</p></li> |
| Offset 613, 18 lines modified | Offset 613, 18 lines modified | ||
| 613 | </li> | 613 | </li> |
| 614 | </ul> | 614 | </ul> |
| 615 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[10]:·</span><span·class="n">rng</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">random</span><span·class="o">.</span><span·class="n">default_rng</span><span·class="p">()</span> | 615 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[10]:·</span><span·class="n">rng</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">random</span><span·class="o">.</span><span·class="n">default_rng</span><span·class="p">()</span> |
| 616 | <span·class="gp">In·[11]:·</span><span·class="n">existing</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">zeros</span><span·class="p">(</span><span·class="mi">4</span><span·class="p">)</span> | 616 | <span·class="gp">In·[11]:·</span><span·class="n">existing</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">zeros</span><span·class="p">(</span><span·class="mi">4</span><span·class="p">)</span> |
| 617 | <span·class="gp">In·[12]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">random</span><span·class="p">(</span><span·class="n">out</span><span·class="o">=</span><span·class="n">existing</span><span·class="p">[:</span><span·class="mi">2</span><span·class="p">])</span> | 617 | <span·class="gp">In·[12]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">random</span><span·class="p">(</span><span·class="n">out</span><span·class="o">=</span><span·class="n">existing</span><span·class="p">[:</span><span·class="mi">2</span><span·class="p">])</span> |
| 618 | <span·class="gh">Out[12]:·</span><span·class="go">array([0. | 618 | <span·class="gh">Out[12]:·</span><span·class="go">array([0.97290577,·0.00500125])</span> |
| 619 | <span·class="gp">In·[13]:·</span><span·class="nb">print</span><span·class="p">(</span><span·class="n">existing</span><span·class="p">)</span> | 619 | <span·class="gp">In·[13]:·</span><span·class="nb">print</span><span·class="p">(</span><span·class="n">existing</span><span·class="p">)</span> |
| 620 | <span·class="go">[0. | 620 | <span·class="go">[0.97290577·0.00500125·0.·········0.········]</span> |
| 621 | </pre></div> | 621 | </pre></div> |
| 622 | </div> | 622 | </div> |
| 623 | <ul·class="simple"> | 623 | <ul·class="simple"> |
| 624 | <li><p>Optional·<code·class="docutils·literal·notranslate"><span·class="pre">axis</span></code>·argument·for·methods·like·<a·class="reference·internal"·href="generated/numpy.random.Generator.choice.html#numpy.random.Generator.choice"·title="numpy.random.Generator.choice"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">choice</span></code></a>, | 624 | <li><p>Optional·<code·class="docutils·literal·notranslate"><span·class="pre">axis</span></code>·argument·for·methods·like·<a·class="reference·internal"·href="generated/numpy.random.Generator.choice.html#numpy.random.Generator.choice"·title="numpy.random.Generator.choice"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">choice</span></code></a>, |
| 625 | <a·class="reference·internal"·href="generated/numpy.random.Generator.permutation.html#numpy.random.Generator.permutation"·title="numpy.random.Generator.permutation"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">permutation</span></code></a>·and·<a·class="reference·internal"·href="generated/numpy.random.Generator.shuffle.html#numpy.random.Generator.shuffle"·title="numpy.random.Generator.shuffle"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">shuffle</span></code></a>·that·controls·which | 625 | <a·class="reference·internal"·href="generated/numpy.random.Generator.permutation.html#numpy.random.Generator.permutation"·title="numpy.random.Generator.permutation"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">permutation</span></code></a>·and·<a·class="reference·internal"·href="generated/numpy.random.Generator.shuffle.html#numpy.random.Generator.shuffle"·title="numpy.random.Generator.shuffle"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">shuffle</span></code></a>·that·controls·which |
| 626 | axis·an·operation·is·performed·over·for·multi-dimensional·arrays.</p></li> | 626 | axis·an·operation·is·performed·over·for·multi-dimensional·arrays.</p></li> |
| 627 | </ul> | 627 | </ul> |
| Offset 636, 25 lines modified | Offset 636, 25 lines modified | ||
| 636 | <span·class="gh">Out[16]:·</span> | 636 | <span·class="gh">Out[16]:·</span> |
| 637 | <span·class="go">array([[·0,··1,··2,··3],</span> | 637 | <span·class="go">array([[·0,··1,··2,··3],</span> |
| 638 | <span·class="go">·······[·4,··5,··6,··7],</span> | 638 | <span·class="go">·······[·4,··5,··6,··7],</span> |
| 639 | <span·class="go">·······[·8,··9,·10,·11]])</span> | 639 | <span·class="go">·······[·8,··9,·10,·11]])</span> |
| 640 | <span·class="gp">In·[17]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">choice</span><span·class="p">(</span><span·class="n">a</span><span·class="p">,</span>·<span·class="n">axis</span><span·class="o">=</span><span·class="mi">1</span><span·class="p">,</span>·<span·class="n">size</span><span·class="o">=</span><span·class="mi">5</span><span·class="p">)</span> | 640 | <span·class="gp">In·[17]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">choice</span><span·class="p">(</span><span·class="n">a</span><span·class="p">,</span>·<span·class="n">axis</span><span·class="o">=</span><span·class="mi">1</span><span·class="p">,</span>·<span·class="n">size</span><span·class="o">=</span><span·class="mi">5</span><span·class="p">)</span> |
| 641 | <span·class="gh">Out[17]:·</span> | 641 | <span·class="gh">Out[17]:·</span> |
| 642 | <span·class="go">array([[· | 642 | <span·class="go">array([[·2,··3,··2,··0,··0],</span> |
| 643 | <span·class="go">·······[· | 643 | <span·class="go">·······[·6,··7,··6,··4,··4],</span> |
| 644 | <span·class="go">·······[ | 644 | <span·class="go">·······[10,·11,·10,··8,··8]])</span> |
| 645 | <span·class="gp">In·[18]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">shuffle</span><span·class="p">(</span><span·class="n">a</span><span·class="p">,</span>·<span·class="n">axis</span><span·class="o">=</span><span·class="mi">1</span><span·class="p">)</span>········<span·class="c1">#·Shuffle·in-place</span> | 645 | <span·class="gp">In·[18]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">shuffle</span><span·class="p">(</span><span·class="n">a</span><span·class="p">,</span>·<span·class="n">axis</span><span·class="o">=</span><span·class="mi">1</span><span·class="p">)</span>········<span·class="c1">#·Shuffle·in-place</span> |
| 646 | <span·class="gp">In·[19]:·</span><span·class="n">a</span> | 646 | <span·class="gp">In·[19]:·</span><span·class="n">a</span> |
| 647 | <span·class="gh">Out[19]:·</span> | 647 | <span·class="gh">Out[19]:·</span> |
| 648 | <span·class="go">array([[· | 648 | <span·class="go">array([[·2,··0,··1,··3],</span> |
| 649 | <span·class="go">·······[· | 649 | <span·class="go">·······[·6,··4,··5,··7],</span> |
| 650 | <span·class="go">·······[ | 650 | <span·class="go">·······[10,··8,··9,·11]])</span> |
| 651 | </pre></div> | 651 | </pre></div> |
| 652 | </div> | 652 | </div> |
| 653 | <ul·class="simple"> | 653 | <ul·class="simple"> |
| 654 | <li><p>Added·a·method·to·sample·from·the·complex·normal·distribution | 654 | <li><p>Added·a·method·to·sample·from·the·complex·normal·distribution |
| 655 | (<em·class="xref·py·py-obj">complex_normal</em>)</p></li> | 655 | (<em·class="xref·py·py-obj">complex_normal</em>)</p></li> |
| 656 | </ul> | 656 | </ul> |
| 657 | </section> | 657 | </section> |
| Offset 102, 26 lines modified | Offset 102, 26 lines modified | ||
| 102 | In·[1]:·import·numpy.random | 102 | In·[1]:·import·numpy.random |
| 103 | In·[2]:·rng·=·np.random.default_rng() | 103 | In·[2]:·rng·=·np.random.default_rng() |
| 104 | In·[3]:·%timeit·-n·1·rng.standard_normal(100000) | 104 | In·[3]:·%timeit·-n·1·rng.standard_normal(100000) |
| 105 | ···...:·%timeit·-n·1·numpy.random.standard_normal(100000) | 105 | ···...:·%timeit·-n·1·numpy.random.standard_normal(100000) |
| 106 | ···...: | 106 | ···...: |
| 107 | 107 | 1.36·ms·+-·33.7·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | |
| 108 | 108 | 2.61·ms·+-·17.5·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | |
| 109 | In·[4]:·%timeit·-n·1·rng.standard_exponential(100000) | 109 | In·[4]:·%timeit·-n·1·rng.standard_exponential(100000) |
| 110 | ···...:·%timeit·-n·1·numpy.random.standard_exponential(100000) | 110 | ···...:·%timeit·-n·1·numpy.random.standard_exponential(100000) |
| 111 | ···...: | 111 | ···...: |
| 112 | 724·us·+-·6.86·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | ||
| 112 | 1.9 | 113 | 1.94·ms·+-·10.5·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) |
| 113 | 5.43·ms·+-·1.18·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | ||
| 114 | In·[5]:·%timeit·-n·1·rng.standard_gamma(3.0,·100000) | 114 | In·[5]:·%timeit·-n·1·rng.standard_gamma(3.0,·100000) |
| 115 | ···...:·%timeit·-n·1·numpy.random.standard_gamma(3.0,·100000) | 115 | ···...:·%timeit·-n·1·numpy.random.standard_gamma(3.0,·100000) |
| 116 | ···...: | 116 | ···...: |
| 117 | 117 | 2.98·ms·+-·21.3·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | |
| 118 | 118 | 5.05·ms·+-·12.7·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | |
| 119 | ····*·_\x8i_\x8n_\x8t_\x8e_\x8g_\x8e_\x8r_\x8s·is·now·the·canonical·way·to·generate·integer·random·numbers·from | 119 | ····*·_\x8i_\x8n_\x8t_\x8e_\x8g_\x8e_\x8r_\x8s·is·now·the·canonical·way·to·generate·integer·random·numbers·from |
| 120 | ······a·discrete·uniform·distribution.·This·replaces·both·_\x8r_\x8a_\x8n_\x8d_\x8i_\x8n_\x8t·and·the | 120 | ······a·discrete·uniform·distribution.·This·replaces·both·_\x8r_\x8a_\x8n_\x8d_\x8i_\x8n_\x8t·and·the |
| 121 | ······deprecated·_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m_\x8__\x8i_\x8n_\x8t_\x8e_\x8g_\x8e_\x8r_\x8s. | 121 | ······deprecated·_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m_\x8__\x8i_\x8n_\x8t_\x8e_\x8g_\x8e_\x8r_\x8s. |
| 122 | ····*·The·_\x8r_\x8a_\x8n_\x8d·and·_\x8r_\x8a_\x8n_\x8d_\x8n·methods·are·only·available·through·the·legacy | 122 | ····*·The·_\x8r_\x8a_\x8n_\x8d·and·_\x8r_\x8a_\x8n_\x8d_\x8n·methods·are·only·available·through·the·legacy |
| 123 | ······_\x8R_\x8a_\x8n_\x8d_\x8o_\x8m_\x8S_\x8t_\x8a_\x8t_\x8e. | 123 | ······_\x8R_\x8a_\x8n_\x8d_\x8o_\x8m_\x8S_\x8t_\x8a_\x8t_\x8e. |
| 124 | ····*·_\x8G_\x8e_\x8n_\x8e_\x8r_\x8a_\x8t_\x8o_\x8r_\x8._\x8r_\x8a_\x8n_\x8d_\x8o_\x8m·is·now·the·canonical·way·to·generate·floating-point | 124 | ····*·_\x8G_\x8e_\x8n_\x8e_\x8r_\x8a_\x8t_\x8o_\x8r_\x8._\x8r_\x8a_\x8n_\x8d_\x8o_\x8m·is·now·the·canonical·way·to·generate·floating-point |
| 125 | ······random·numbers,·which·replaces·_\x8R_\x8a_\x8n_\x8d_\x8o_\x8m_\x8S_\x8t_\x8a_\x8t_\x8e_\x8._\x8r_\x8a_\x8n_\x8d_\x8o_\x8m_\x8__\x8s_\x8a_\x8m_\x8p_\x8l_\x8e,·_\x8s_\x8a_\x8m_\x8p_\x8l_\x8e,·and | 125 | ······random·numbers,·which·replaces·_\x8R_\x8a_\x8n_\x8d_\x8o_\x8m_\x8S_\x8t_\x8a_\x8t_\x8e_\x8._\x8r_\x8a_\x8n_\x8d_\x8o_\x8m_\x8__\x8s_\x8a_\x8m_\x8p_\x8l_\x8e,·_\x8s_\x8a_\x8m_\x8p_\x8l_\x8e,·and |
| Offset 140, 38 lines modified | Offset 140, 38 lines modified | ||
| 140 | ··········o·Uniforms·(_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m·and·_\x8i_\x8n_\x8t_\x8e_\x8g_\x8e_\x8r_\x8s) | 140 | ··········o·Uniforms·(_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m·and·_\x8i_\x8n_\x8t_\x8e_\x8g_\x8e_\x8r_\x8s) |
| 141 | ··········o·Normals·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8n_\x8o_\x8r_\x8m_\x8a_\x8l) | 141 | ··········o·Normals·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8n_\x8o_\x8r_\x8m_\x8a_\x8l) |
| 142 | ··········o·Standard·Gammas·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8g_\x8a_\x8m_\x8m_\x8a) | 142 | ··········o·Standard·Gammas·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8g_\x8a_\x8m_\x8m_\x8a) |
| 143 | ··········o·Standard·Exponentials·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8e_\x8x_\x8p_\x8o_\x8n_\x8e_\x8n_\x8t_\x8i_\x8a_\x8l) | 143 | ··········o·Standard·Exponentials·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8e_\x8x_\x8p_\x8o_\x8n_\x8e_\x8n_\x8t_\x8i_\x8a_\x8l) |
| 144 | In·[6]:·rng·=·np.random.default_rng() | 144 | In·[6]:·rng·=·np.random.default_rng() |
| 145 | In·[7]:·rng.random(3,·dtype=np.float64) | 145 | In·[7]:·rng.random(3,·dtype=np.float64) |
| 146 | Out[7]:·array([0. | 146 | Out[7]:·array([0.55420097,·0.45697908,·0.69487323]) |
| 147 | In·[8]:·rng.random(3,·dtype=np.float32) | 147 | In·[8]:·rng.random(3,·dtype=np.float32) |
| 148 | Out[8]:·array([0. | 148 | Out[8]:·array([0.5988971·,·0.18808335,·0.86917627],·dtype=float32) |
| 149 | In·[9]:·rng.integers(0,·256,·size=3,·dtype=np.uint8) | 149 | In·[9]:·rng.integers(0,·256,·size=3,·dtype=np.uint8) |
| 150 | Out[9]:·array([ | 150 | Out[9]:·array([252,··61,··65],·dtype=uint8) |
| 151 | ····*·Optional·out·argument·that·allows·existing·arrays·to·be·filled·for·select | 151 | ····*·Optional·out·argument·that·allows·existing·arrays·to·be·filled·for·select |
| 152 | ······distributions | 152 | ······distributions |
| 153 | ··········o·Uniforms·(_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m) | 153 | ··········o·Uniforms·(_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m) |
| 154 | ··········o·Normals·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8n_\x8o_\x8r_\x8m_\x8a_\x8l) | 154 | ··········o·Normals·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8n_\x8o_\x8r_\x8m_\x8a_\x8l) |
| 155 | ··········o·Standard·Gammas·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8g_\x8a_\x8m_\x8m_\x8a) | 155 | ··········o·Standard·Gammas·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8g_\x8a_\x8m_\x8m_\x8a) |
| 156 | ··········o·Standard·Exponentials·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8e_\x8x_\x8p_\x8o_\x8n_\x8e_\x8n_\x8t_\x8i_\x8a_\x8l) | 156 | ··········o·Standard·Exponentials·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8e_\x8x_\x8p_\x8o_\x8n_\x8e_\x8n_\x8t_\x8i_\x8a_\x8l) |
| 157 | ······This·allows·multithreading·to·fill·large·arrays·in·chunks·using·suitable | 157 | ······This·allows·multithreading·to·fill·large·arrays·in·chunks·using·suitable |
| 158 | ······BitGenerators·in·parallel. | 158 | ······BitGenerators·in·parallel. |
| 159 | In·[10]:·rng·=·np.random.default_rng() | 159 | In·[10]:·rng·=·np.random.default_rng() |
| 160 | In·[11]:·existing·=·np.zeros(4) | 160 | In·[11]:·existing·=·np.zeros(4) |
| 161 | In·[12]:·rng.random(out=existing[:2]) | 161 | In·[12]:·rng.random(out=existing[:2]) |
| 162 | Out[12]:·array([0. | 162 | Out[12]:·array([0.97290577,·0.00500125]) |
| 163 | In·[13]:·print(existing) | 163 | In·[13]:·print(existing) |
| 164 | [0. | 164 | [0.97290577·0.00500125·0.·········0.········] |
| 165 | ····*·Optional·axis·argument·for·methods·like·_\x8c_\x8h_\x8o_\x8i_\x8c_\x8e,·_\x8p_\x8e_\x8r_\x8m_\x8u_\x8t_\x8a_\x8t_\x8i_\x8o_\x8n·and·_\x8s_\x8h_\x8u_\x8f_\x8f_\x8l_\x8e | 165 | ····*·Optional·axis·argument·for·methods·like·_\x8c_\x8h_\x8o_\x8i_\x8c_\x8e,·_\x8p_\x8e_\x8r_\x8m_\x8u_\x8t_\x8a_\x8t_\x8i_\x8o_\x8n·and·_\x8s_\x8h_\x8u_\x8f_\x8f_\x8l_\x8e |
| 166 | ······that·controls·which·axis·an·operation·is·performed·over·for·multi- | 166 | ······that·controls·which·axis·an·operation·is·performed·over·for·multi- |
| 167 | ······dimensional·arrays. | 167 | ······dimensional·arrays. |
| 168 | In·[14]:·rng·=·np.random.default_rng() | 168 | In·[14]:·rng·=·np.random.default_rng() |
| 169 | In·[15]:·a·=·np.arange(12).reshape((3,·4)) | 169 | In·[15]:·a·=·np.arange(12).reshape((3,·4)) |
| Offset 179, 25 lines modified | Offset 179, 25 lines modified | ||
| 179 | Out[16]: | 179 | Out[16]: |
| 180 | array([[·0,··1,··2,··3], | 180 | array([[·0,··1,··2,··3], |
| 181 | ·······[·4,··5,··6,··7], | 181 | ·······[·4,··5,··6,··7], |
| 182 | ·······[·8,··9,·10,·11]]) | 182 | ·······[·8,··9,·10,·11]]) |
| 183 | In·[17]:·rng.choice(a,·axis=1,·size=5) | 183 | In·[17]:·rng.choice(a,·axis=1,·size=5) |
| 184 | Out[17]: | 184 | Out[17]: |
| 185 | array([[· | 185 | array([[·2,··3,··2,··0,··0], |
| 186 | ·······[· | 186 | ·······[·6,··7,··6,··4,··4], |
| 187 | ·······[ | 187 | ·······[10,·11,·10,··8,··8]]) |
| 188 | In·[18]:·rng.shuffle(a,·axis=1)········#·Shuffle·in-place | 188 | In·[18]:·rng.shuffle(a,·axis=1)········#·Shuffle·in-place |
| 189 | In·[19]:·a | 189 | In·[19]:·a |
| 190 | Out[19]: | 190 | Out[19]: |
| 191 | array([[· | 191 | array([[·2,··0,··1,··3], |
| 192 | ·······[· | 192 | ·······[·6,··4,··5,··7], |
| 193 | ·······[ | 193 | ·······[10,··8,··9,·11]]) |
| 194 | ····*·Added·a·method·to·sample·from·the·complex·normal·distribution | 194 | ····*·Added·a·method·to·sample·from·the·complex·normal·distribution |
| 195 | ······(c\x8co\x8om\x8mp\x8pl\x8le\x8ex\x8x_\x8_n\x8no\x8or\x8rm\x8ma\x8al\x8l) | 195 | ······(c\x8co\x8om\x8mp\x8pl\x8le\x8ex\x8x_\x8_n\x8no\x8or\x8rm\x8ma\x8al\x8l) |
| 196 | _\x8p_\x8r_\x8e_\x8v_\x8i_\x8o_\x8u_\x8s | 196 | _\x8p_\x8r_\x8e_\x8v_\x8i_\x8o_\x8u_\x8s |
| 197 | _\x8M_\x8u_\x8l_\x8t_\x8i_\x8t_\x8h_\x8r_\x8e_\x8a_\x8d_\x8e_\x8d_\x8·_\x8g_\x8e_\x8n_\x8e_\x8r_\x8a_\x8t_\x8i_\x8o_\x8n | 197 | _\x8M_\x8u_\x8l_\x8t_\x8i_\x8t_\x8h_\x8r_\x8e_\x8a_\x8d_\x8e_\x8d_\x8·_\x8g_\x8e_\x8n_\x8e_\x8r_\x8a_\x8t_\x8i_\x8o_\x8n |
| 198 | _\x8n_\x8e_\x8x_\x8t | 198 | _\x8n_\x8e_\x8x_\x8t |
| 199 | _\x8P_\x8e_\x8r_\x8f_\x8o_\x8r_\x8m_\x8a_\x8n_\x8c_\x8e | 199 | _\x8P_\x8e_\x8r_\x8f_\x8o_\x8r_\x8m_\x8a_\x8n_\x8c_\x8e |
| 200 | ©·Copyright·2008-2025,·NumPy·Developers. | 200 | ©·Copyright·2008-2025,·NumPy·Developers. |
| Offset 609, 31 lines modified | Offset 609, 31 lines modified | ||
| 609 | <span·class="gp">In·[3]:·</span><span·class="n">y</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">arange</span><span·class="p">(</span><span·class="mi">10</span><span·class="p">)</span>·<span·class="o">+</span>·<span·class="n">rng</span><span·class="o">.</span><span·class="n">standard_normal</span><span·class="p">(</span><span·class="mi">10</span><span·class="p">)</span> | 609 | <span·class="gp">In·[3]:·</span><span·class="n">y</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">arange</span><span·class="p">(</span><span·class="mi">10</span><span·class="p">)</span>·<span·class="o">+</span>·<span·class="n">rng</span><span·class="o">.</span><span·class="n">standard_normal</span><span·class="p">(</span><span·class="mi">10</span><span·class="p">)</span> |
| 610 | </pre></div> | 610 | </pre></div> |
| 611 | </div> | 611 | </div> |
| 612 | <p>With·the·legacy·polynomial·module,·a·linear·fit·(i.e.·polynomial·of·degree·1) | 612 | <p>With·the·legacy·polynomial·module,·a·linear·fit·(i.e.·polynomial·of·degree·1) |
| 613 | could·be·applied·to·these·data·with·<a·class="reference·internal"·href="generated/numpy.polyfit.html#numpy.polyfit"·title="numpy.polyfit"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">polyfit</span></code></a>:</p> | 613 | could·be·applied·to·these·data·with·<a·class="reference·internal"·href="generated/numpy.polyfit.html#numpy.polyfit"·title="numpy.polyfit"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">polyfit</span></code></a>:</p> |
| 614 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[4]:·</span><span·class="n">np</span><span·class="o">.</span><span·class="n">polyfit</span><span·class="p">(</span><span·class="n">x</span><span·class="p">,</span>·<span·class="n">y</span><span·class="p">,</span>·<span·class="n">deg</span><span·class="o">=</span><span·class="mi">1</span><span·class="p">)</span> | 614 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[4]:·</span><span·class="n">np</span><span·class="o">.</span><span·class="n">polyfit</span><span·class="p">(</span><span·class="n">x</span><span·class="p">,</span>·<span·class="n">y</span><span·class="p">,</span>·<span·class="n">deg</span><span·class="o">=</span><span·class="mi">1</span><span·class="p">)</span> |
| 615 | <span·class="gh">Out[4]:·</span><span·class="go">array([ | 615 | <span·class="gh">Out[4]:·</span><span·class="go">array([0.89327527,·0.30236465])</span> |
| 616 | </pre></div> | 616 | </pre></div> |
| 617 | </div> | 617 | </div> |
| 618 | <p>With·the·new·polynomial·API,·the·<a·class="reference·internal"·href="generated/numpy.polynomial.polynomial.Polynomial.fit.html#numpy.polynomial.polynomial.Polynomial.fit"·title="numpy.polynomial.polynomial.Polynomial.fit"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">fit</span></code></a> | 618 | <p>With·the·new·polynomial·API,·the·<a·class="reference·internal"·href="generated/numpy.polynomial.polynomial.Polynomial.fit.html#numpy.polynomial.polynomial.Polynomial.fit"·title="numpy.polynomial.polynomial.Polynomial.fit"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">fit</span></code></a> |
| 619 | class·method·is·preferred:</p> | 619 | class·method·is·preferred:</p> |
| 620 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[5]:·</span><span·class="n">p_fitted</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">polynomial</span><span·class="o">.</span><span·class="n">Polynomial</span><span·class="o">.</span><span·class="n">fit</span><span·class="p">(</span><span·class="n">x</span><span·class="p">,</span>·<span·class="n">y</span><span·class="p">,</span>·<span·class="n">deg</span><span·class="o">=</span><span·class="mi">1</span><span·class="p">)</span> | 620 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[5]:·</span><span·class="n">p_fitted</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">polynomial</span><span·class="o">.</span><span·class="n">Polynomial</span><span·class="o">.</span><span·class="n">fit</span><span·class="p">(</span><span·class="n">x</span><span·class="p">,</span>·<span·class="n">y</span><span·class="p">,</span>·<span·class="n">deg</span><span·class="o">=</span><span·class="mi">1</span><span·class="p">)</span> |
| 621 | <span·class="gp">In·[6]:·</span><span·class="n">p_fitted</span> | 621 | <span·class="gp">In·[6]:·</span><span·class="n">p_fitted</span> |
| 622 | <span·class="gh">Out[6]:·</span><span·class="go">Polynomial([4. | 622 | <span·class="gh">Out[6]:·</span><span·class="go">Polynomial([4.32210337,·4.01973872],·domain=[0.,·9.],·window=[-1.,··1.],·symbol='x')</span> |
| 623 | </pre></div> | 623 | </pre></div> |
| 624 | </div> | 624 | </div> |
| 625 | <p>Note·that·the·coefficients·are·given·<em>in·the·scaled·domain</em>·defined·by·the | 625 | <p>Note·that·the·coefficients·are·given·<em>in·the·scaled·domain</em>·defined·by·the |
| 626 | linear·mapping·between·the·<code·class="docutils·literal·notranslate"><span·class="pre">window</span></code>·and·<code·class="docutils·literal·notranslate"><span·class="pre">domain</span></code>. | 626 | linear·mapping·between·the·<code·class="docutils·literal·notranslate"><span·class="pre">window</span></code>·and·<code·class="docutils·literal·notranslate"><span·class="pre">domain</span></code>. |
| 627 | <a·class="reference·internal"·href="generated/numpy.polynomial.polynomial.Polynomial.convert.html#numpy.polynomial.polynomial.Polynomial.convert"·title="numpy.polynomial.polynomial.Polynomial.convert"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">convert</span></code></a>·can·be·used·to·get·the | 627 | <a·class="reference·internal"·href="generated/numpy.polynomial.polynomial.Polynomial.convert.html#numpy.polynomial.polynomial.Polynomial.convert"·title="numpy.polynomial.polynomial.Polynomial.convert"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">convert</span></code></a>·can·be·used·to·get·the |
| 628 | coefficients·in·the·unscaled·data·domain.</p> | 628 | coefficients·in·the·unscaled·data·domain.</p> |
| 629 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[7]:·</span><span·class="n">p_fitted</span><span·class="o">.</span><span·class="n">convert</span><span·class="p">()</span> | 629 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[7]:·</span><span·class="n">p_fitted</span><span·class="o">.</span><span·class="n">convert</span><span·class="p">()</span> |
| 630 | <span·class="gh">Out[7]:·</span><span·class="go">Polynomial([0. | 630 | <span·class="gh">Out[7]:·</span><span·class="go">Polynomial([0.30236465,·0.89327527],·domain=[-1.,··1.],·window=[-1.,··1.],·symbol='x')</span> |
| 631 | </pre></div> | 631 | </pre></div> |
| 632 | </div> | 632 | </div> |
| 633 | </section> | 633 | </section> |
| 634 | </section> | 634 | </section> |
| 635 | <section·id="documentation-for-the-polynomial-package"> | 635 | <section·id="documentation-for-the-polynomial-package"> |
| 636 | <h2>Documentation·for·the·<a·class="reference·internal"·href="routines.polynomials-package.html#module-numpy.polynomial"·title="numpy.polynomial"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">polynomial</span></code></a>·package<a·class="headerlink"·href="#documentation-for-the-polynomial-package"·title="Link·to·this·heading">#</a></h2> | 636 | <h2>Documentation·for·the·<a·class="reference·internal"·href="routines.polynomials-package.html#module-numpy.polynomial"·title="numpy.polynomial"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">polynomial</span></code></a>·package<a·class="headerlink"·href="#documentation-for-the-polynomial-package"·title="Link·to·this·heading">#</a></h2> |
| 637 | <p>In·addition·to·standard·power·series·polynomials,·the·polynomial·package | 637 | <p>In·addition·to·standard·power·series·polynomials,·the·polynomial·package |
| Offset 150, 26 lines modified | Offset 150, 26 lines modified | ||
| 150 | In·[2]:·x·=·np.arange(10) | 150 | In·[2]:·x·=·np.arange(10) |
| 151 | In·[3]:·y·=·np.arange(10)·+·rng.standard_normal(10) | 151 | In·[3]:·y·=·np.arange(10)·+·rng.standard_normal(10) |
| 152 | With·the·legacy·polynomial·module,·a·linear·fit·(i.e.·polynomial·of·degree·1) | 152 | With·the·legacy·polynomial·module,·a·linear·fit·(i.e.·polynomial·of·degree·1) |
| 153 | could·be·applied·to·these·data·with·_\x8p_\x8o_\x8l_\x8y_\x8f_\x8i_\x8t: | 153 | could·be·applied·to·these·data·with·_\x8p_\x8o_\x8l_\x8y_\x8f_\x8i_\x8t: |
| 154 | In·[4]:·np.polyfit(x,·y,·deg=1) | 154 | In·[4]:·np.polyfit(x,·y,·deg=1) |
| 155 | Out[4]:·array([ | 155 | Out[4]:·array([0.89327527,·0.30236465]) |
| 156 | With·the·new·polynomial·API,·the·_\x8f_\x8i_\x8t·class·method·is·preferred: | 156 | With·the·new·polynomial·API,·the·_\x8f_\x8i_\x8t·class·method·is·preferred: |
| 157 | In·[5]:·p_fitted·=·np.polynomial.Polynomial.fit(x,·y,·deg=1) | 157 | In·[5]:·p_fitted·=·np.polynomial.Polynomial.fit(x,·y,·deg=1) |
| 158 | In·[6]:·p_fitted | 158 | In·[6]:·p_fitted |
| 159 | Out[6]:·Polynomial([4. | 159 | Out[6]:·Polynomial([4.32210337,·4.01973872],·domain=[0.,·9.],·window=[-1., |
| 160 | 1.],·symbol='x') | 160 | 1.],·symbol='x') |
| 161 | Note·that·the·coefficients·are·given·i\x8in\x8n·t\x8th\x8he\x8e·s\x8sc\x8ca\x8al\x8le\x8ed\x8d·d\x8do\x8om\x8ma\x8ai\x8in\x8n·defined·by·the·linear | 161 | Note·that·the·coefficients·are·given·i\x8in\x8n·t\x8th\x8he\x8e·s\x8sc\x8ca\x8al\x8le\x8ed\x8d·d\x8do\x8om\x8ma\x8ai\x8in\x8n·defined·by·the·linear |
| 162 | mapping·between·the·window·and·domain.·_\x8c_\x8o_\x8n_\x8v_\x8e_\x8r_\x8t·can·be·used·to·get·the | 162 | mapping·between·the·window·and·domain.·_\x8c_\x8o_\x8n_\x8v_\x8e_\x8r_\x8t·can·be·used·to·get·the |
| 163 | coefficients·in·the·unscaled·data·domain. | 163 | coefficients·in·the·unscaled·data·domain. |
| 164 | In·[7]:·p_fitted.convert() | 164 | In·[7]:·p_fitted.convert() |
| 165 | Out[7]:·Polynomial([0. | 165 | Out[7]:·Polynomial([0.30236465,·0.89327527],·domain=[-1.,··1.],·window=[-1., |
| 166 | 1.],·symbol='x') | 166 | 1.],·symbol='x') |
| 167 | *\x8**\x8**\x8**\x8**\x8*·D\x8Do\x8oc\x8cu\x8um\x8me\x8en\x8nt\x8ta\x8at\x8ti\x8io\x8on\x8n·f\x8fo\x8or\x8r·t\x8th\x8he\x8e·_\x8p\x8p_\x8o\x8o_\x8l\x8l_\x8y\x8y_\x8n\x8n_\x8o\x8o_\x8m\x8m_\x8i\x8i_\x8a\x8a_\x8l\x8l·p\x8pa\x8ac\x8ck\x8ka\x8ag\x8ge\x8e_\x8#\x8#·*\x8**\x8**\x8**\x8**\x8* | 167 | *\x8**\x8**\x8**\x8**\x8*·D\x8Do\x8oc\x8cu\x8um\x8me\x8en\x8nt\x8ta\x8at\x8ti\x8io\x8on\x8n·f\x8fo\x8or\x8r·t\x8th\x8he\x8e·_\x8p\x8p_\x8o\x8o_\x8l\x8l_\x8y\x8y_\x8n\x8n_\x8o\x8o_\x8m\x8m_\x8i\x8i_\x8a\x8a_\x8l\x8l·p\x8pa\x8ac\x8ck\x8ka\x8ag\x8ge\x8e_\x8#\x8#·*\x8**\x8**\x8**\x8**\x8* |
| 168 | In·addition·to·standard·power·series·polynomials,·the·polynomial·package | 168 | In·addition·to·standard·power·series·polynomials,·the·polynomial·package |
| 169 | provides·several·additional·kinds·of·polynomials·including·Chebyshev,·Hermite | 169 | provides·several·additional·kinds·of·polynomials·including·Chebyshev,·Hermite |
| 170 | (two·subtypes),·Laguerre,·and·Legendre·polynomials.·Each·of·these·has·an | 170 | (two·subtypes),·Laguerre,·and·Legendre·polynomials.·Each·of·these·has·an |
| 171 | associated·c\x8co\x8on\x8nv\x8ve\x8en\x8ni\x8ie\x8en\x8nc\x8ce\x8e·c\x8cl\x8la\x8as\x8ss\x8s·available·from·the·_\x8n_\x8u_\x8m_\x8p_\x8y_\x8._\x8p_\x8o_\x8l_\x8y_\x8n_\x8o_\x8m_\x8i_\x8a_\x8l·namespace·that | 171 | associated·c\x8co\x8on\x8nv\x8ve\x8en\x8ni\x8ie\x8en\x8nc\x8ce\x8e·c\x8cl\x8la\x8as\x8ss\x8s·available·from·the·_\x8n_\x8u_\x8m_\x8p_\x8y_\x8._\x8p_\x8o_\x8l_\x8y_\x8n_\x8o_\x8m_\x8i_\x8a_\x8l·namespace·that |
| 172 | provides·a·consistent·interface·for·working·with·polynomials·regardless·of | 172 | provides·a·consistent·interface·for·working·with·polynomials·regardless·of |
| Offset 32324, 21 lines modified | Offset 32324, 21 lines modified | ||
| 32324 | ········"001637457145670096":·2315, | 32324 | ········"001637457145670096":·2315, |
| 32325 | ········"001j":·[1596,·1653,·1710,·1767,·1824,·1879,·1893], | 32325 | ········"001j":·[1596,·1653,·1710,·1767,·1824,·1879,·1893], |
| 32326 | ········"002":·[1335,·1602,·1659,·1716,·1773,·1830,·1886], | 32326 | ········"002":·[1335,·1602,·1659,·1716,·1773,·1830,·1886], |
| 32327 | ········"0024":·477, | 32327 | ········"0024":·477, |
| 32328 | ········"003":·[2327,·2372,·2419], | 32328 | ········"003":·[2327,·2372,·2419], |
| 32329 | ········"005":·2188, | 32329 | ········"005":·2188, |
| 32330 | ········"0050000029":·[357,·359], | 32330 | ········"0050000029":·[357,·359], |
| 32331 | ········"00500125":·2461, | ||
| 32331 | ········"0050045159":·[357,·359], | 32332 | ········"0050045159":·[357,·359], |
| 32332 | ········"00578369":·1754, | 32333 | ········"00578369":·1754, |
| 32333 | ········"00625":·1585, | 32334 | ········"00625":·1585, |
| 32334 | ········"007000999997857":·1541, | 32335 | ········"007000999997857":·1541, |
| 32335 | ········"00867716":·[2319,·2363,·2410], | 32336 | ········"00867716":·[2319,·2363,·2410], |
| 32336 | ········"00950034":·[2339,·2352,·2382,·2389,·2399,·2429,·2436,·2449], | 32337 | ········"00950034":·[2339,·2352,·2382,·2389,·2399,·2429,·2436,·2449], |
| 32337 | ········"00958763":·2488, | ||
| 32338 | ········"009a87ff44bf":·42, | 32338 | ········"009a87ff44bf":·42, |
| 32339 | ········"00j":·[514,·642,·2167], | 32339 | ········"00j":·[514,·642,·2167], |
| 32340 | ········"01":·[41,·42,·45,·54,·55,·62,·147,·162,·163,·164,·335,·361,·410,·514,·547,·557,·566,·669,·897,·1088,·1094,·1586,·1594,·1601,·1658,·1715,·1772,·1829,·1885,·2104,·2160,·2323,·2329,·2367,·2373,·2414,·2420,·2525,·2657], | 32340 | ········"01":·[41,·42,·45,·54,·55,·62,·147,·162,·163,·164,·335,·361,·410,·514,·547,·557,·566,·669,·897,·1088,·1094,·1586,·1594,·1601,·1658,·1715,·1772,·1829,·1885,·2104,·2160,·2323,·2329,·2367,·2373,·2414,·2420,·2525,·2657], |
| 32341 | ········"010":·[653,·1602,·1659,·1716,·1773,·1830,·1886], | 32341 | ········"010":·[653,·1602,·1659,·1716,·1773,·1830,·1886], |
| 32342 | ········"0100":·1519, | 32342 | ········"0100":·1519, |
| 32343 | ········"01041667":·1585, | 32343 | ········"01041667":·1585, |
| 32344 | ········"011":·[1602,·1659,·1716,·1773,·1830,·1886], | 32344 | ········"011":·[1602,·1659,·1716,·1773,·1830,·1886], |
| Offset 32347, 14 lines modified | Offset 32347, 15 lines modified | ||
| 32347 | ········"01280782":·[2335,·2378,·2425], | 32347 | ········"01280782":·[2335,·2378,·2425], |
| 32348 | ········"016":·[648,·653], | 32348 | ········"016":·[648,·653], |
| 32349 | ········"01652764":·2634, | 32349 | ········"01652764":·2634, |
| 32350 | ········"01666667":·1544, | 32350 | ········"01666667":·1544, |
| 32351 | ········"016j":·2105, | 32351 | ········"016j":·2105, |
| 32352 | ········"01831564":·1660, | 32352 | ········"01831564":·1660, |
| 32353 | ········"018318":·[2353,·2400,·2450], | 32353 | ········"018318":·[2353,·2400,·2450], |
| 32354 | ········"01973872":·2488, | ||
| 32354 | ········"01j":·514, | 32355 | ········"01j":·514, |
| 32355 | ········"01t00":·[55,·62,·361,·2525], | 32356 | ········"01t00":·[55,·62,·361,·2525], |
| 32356 | ········"01t08":·2525, | 32357 | ········"01t08":·2525, |
| 32357 | ········"01t12":·55, | 32358 | ········"01t12":·55, |
| 32358 | ········"02":·[54,·55,·147,·162,·163,·410,·547,·566,·669,·1335,·1586,·1601,·1658,·1715,·1772,·1816,·1829,·1885,·2104], | 32359 | ········"02":·[54,·55,·147,·162,·163,·410,·547,·566,·669,·1335,·1586,·1601,·1658,·1715,·1772,·1816,·1829,·1885,·2104], |
| 32359 | ········"020995":·57, | 32360 | ········"020995":·57, |
| 32360 | ········"02284196":·1697, | 32361 | ········"02284196":·1697, |
| Offset 32378, 32 lines modified | Offset 32379, 30 lines modified | ||
| 32378 | ········"0396842":·680, | 32379 | ········"0396842":·680, |
| 32379 | ········"03t13":·55, | 32380 | ········"03t13":·55, |
| 32380 | ········"04":·[54,·55,·164,·410,·547,·1586,·2463,·2594,·2658], | 32381 | ········"04":·[54,·55,·164,·410,·547,·1586,·2463,·2594,·2658], |
| 32381 | ········"0400":·360, | 32382 | ········"0400":·360, |
| 32382 | ········"04097352":·2634, | 32383 | ········"04097352":·2634, |
| 32383 | ········"04166667":·[1544,·1585], | 32384 | ········"04166667":·[1544,·1585], |
| 32384 | ········"04211c6":·2521, | 32385 | ········"04211c6":·2521, |
| 32385 | ········"04465839":·2461, | ||
| 32386 | ········"04551152e":·2104, | 32386 | ········"04551152e":·2104, |
| 32387 | ········"04719755":·1911, | 32387 | ········"04719755":·1911, |
| 32388 | ········"05":·[55,·91,·163,·410,·548,·669,·896,·1095,·1871,·2083,·2173,·2353,·2400,·2450,·2647], | 32388 | ········"05":·[55,·91,·163,·410,·548,·669,·896,·1095,·1871,·2083,·2173,·2353,·2400,·2450,·2461,·2647], |
| 32389 | ········"0500":·360, | 32389 | ········"0500":·360, |
| 32390 | ········"05093587":·2634, | 32390 | ········"05093587":·2634, |
| 32391 | ········"05208333":·1585, | 32391 | ········"05208333":·1585, |
| 32392 | ········"05263157894736836":·2257, | 32392 | ········"05263157894736836":·2257, |
| 32393 | ········"0549999999999997":·2083, | 32393 | ········"0549999999999997":·2083, |
| 32394 | ········"055":·2083, | 32394 | ········"055":·2083, |
| 32395 | ········"0596779":·1153, | 32395 | ········"0596779":·1153, |
| 32396 | ········"06":·[55,·566,·2083,·2508], | 32396 | ········"06":·[55,·566,·2083,·2508], |
| 32397 | ········"0614962j":·[439,·453], | 32397 | ········"0614962j":·[439,·453], |
| 32398 | ········"0625":·[418,·624,·1645], | 32398 | ········"0625":·[418,·624,·1645], |
| 32399 | ········"06369197489564249":·2458, | 32399 | ········"06369197489564249":·2458, |
| 32400 | ········"06381726":·349, | 32400 | ········"06381726":·349, |
| 32401 | ········"0660":·[302,·2131], | 32401 | ········"0660":·[302,·2131], |
| 32402 | ········"06648364":·2488, | ||
| 32403 | ········"06959433e":·[420,·947], | 32402 | ········"06959433e":·[420,·947], |
| 32404 | ········"07":·[55,·164,·547,·896,·897,·1335,·2170,·2508], | 32403 | ········"07":·[55,·164,·547,·896,·897,·1335,·2170,·2508], |
| 32405 | ········"07106781e":·514, | 32404 | ········"07106781e":·514, |
| 32406 | ········"07407407":·1809, | 32405 | ········"07407407":·1809, |
| 32407 | ········"07779185":·2458, | 32406 | ········"07779185":·2458, |
| 32408 | ········"07937323":·524, | 32407 | ········"07937323":·524, |
| 32409 | ········"07944154":·[657,·2654], | 32408 | ········"07944154":·[657,·2654], |
| Offset 32420, 15 lines modified | Offset 32419, 14 lines modified | ||
| 32420 | ········"08703704":·[1113,·1543], | 32419 | ········"08703704":·[1113,·1543], |
| 32421 | ········"087300000000000003":·[2346,·2392,·2441], | 32420 | ········"087300000000000003":·[2346,·2392,·2441], |
| 32422 | ········"09":·[55,·2171,·2252,·2323,·2367,·2414], | 32421 | ········"09":·[55,·2171,·2252,·2323,·2367,·2414], |
| 32423 | ········"090097550553843":·2641, | 32422 | ········"090097550553843":·2641, |
| 32424 | ········"09417735":·[349,·2457,·2638], | 32423 | ········"09417735":·[349,·2457,·2638], |
| 32425 | ········"0943951":·1911, | 32424 | ········"0943951":·1911, |
| 32426 | ········"09640474436813":·675, | 32425 | ········"09640474436813":·675, |
| 32427 | ········"09837248":·2461, | ||
| 32428 | ········"09861229":·[657,·2654], | 32426 | ········"09861229":·[657,·2654], |
| 32429 | ········"0999755859375":·62, | 32427 | ········"0999755859375":·62, |
| 32430 | ········"099975586":·62, | 32428 | ········"099975586":·62, |
| 32431 | ········"0a1":·577, | 32429 | ········"0a1":·577, |
| 32432 | ········"0a2":·577, | 32430 | ········"0a2":·577, |
| 32433 | ········"0b00000011":·[1519,·2235], | 32431 | ········"0b00000011":·[1519,·2235], |
| 32434 | ········"0b1":·[34,·50,·577,·2602], | 32432 | ········"0b1":·[34,·50,·577,·2602], |
| Offset 32566, 15 lines modified | Offset 32564, 15 lines modified | ||
| 32566 | ········"1073741821":·[420,·421,·947,·948,·1923], | 32564 | ········"1073741821":·[420,·421,·947,·948,·1923], |
| 32567 | ········"1078":·2622, | 32565 | ········"1078":·2622, |
| 32568 | ········"108":·[524,·2463], | 32566 | ········"108":·[524,·2463], |
| 32569 | ········"10862":·2538, | 32567 | ········"10862":·2538, |
| 32570 | ········"10868":·2538, | 32568 | ········"10868":·2538, |
| 32571 | ········"1088311":·2343, | 32569 | ········"1088311":·2343, |
| 32572 | ········"10898":·2542, | 32570 | ········"10898":·2542, |
| 32573 | ········"109":·[136,·523,·246 | 32571 | ········"109":·[136,·523,·2463], |
| 32574 | ········"10905":·2538, | 32572 | ········"10905":·2538, |
| 32575 | ········"10941":·2328, | 32573 | ········"10941":·2328, |
| 32576 | ········"10946":·28, | 32574 | ········"10946":·28, |
| 32577 | ········"10947":·2538, | 32575 | ········"10947":·2538, |
| 32578 | ········"10959":·2538, | 32576 | ········"10959":·2538, |
| 32579 | ········"10960":·2538, | 32577 | ········"10960":·2538, |
| 32580 | ········"10961":·2538, | 32578 | ········"10961":·2538, |
| Offset 32656, 15 lines modified | Offset 32654, 15 lines modified | ||
| 32656 | ········"11785":·2543, | 32654 | ········"11785":·2543, |
| 32657 | ········"11786":·2543, | 32655 | ········"11786":·2543, |
| 32658 | ········"1179":·2463, | 32656 | ········"1179":·2463, |
| 32659 | ········"118":·2463, | 32657 | ········"118":·2463, |
| 32660 | ········"1180339887498949":·2115, | 32658 | ········"1180339887498949":·2115, |
| 32661 | ········"11803399":·1228, | 32659 | ········"11803399":·1228, |
| 32662 | ········"11885628817151628":·2458, | 32660 | ········"11885628817151628":·2458, |
| 32663 | ········"119":· | 32661 | ········"119":·2616, |
| 32664 | ········"11902":·2544, | 32662 | ········"11902":·2544, |
| 32665 | ········"11981":·2544, | 32663 | ········"11981":·2544, |
| 32666 | ········"11982":·2544, | 32664 | ········"11982":·2544, |
| 32667 | ········"11985":·2541, | 32665 | ········"11985":·2541, |
| 32668 | ········"11986":·2541, | 32666 | ········"11986":·2541, |
| 32669 | ········"11987":·2541, | 32667 | ········"11987":·2541, |
| 32670 | ········"11992":·2544, | 32668 | ········"11992":·2544, |
| Offset 32749, 15 lines modified | Offset 32747, 14 lines modified | ||
| 32749 | ········"13026":·2549, | 32747 | ········"13026":·2549, |
| 32750 | ········"13028":·2549, | 32748 | ········"13028":·2549, |
| 32751 | ········"13038":·2549, | 32749 | ········"13038":·2549, |
| 32752 | ········"13041":·2549, | 32750 | ········"13041":·2549, |
| 32753 | ········"13090":·[186,·827,·999,·1172,·1259,·1414,·1933], | 32751 | ········"13090":·[186,·827,·999,·1172,·1259,·1414,·1933], |
| 32754 | ········"131":·[527,·2463], | 32752 | ········"131":·[527,·2463], |
| 32755 | ········"1312":·485, | 32753 | ········"1312":·485, |
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